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Colloquium on Semigroups
July 17-21, 2000
University of Szeged, Bolyai Institute
Szeged, Hungary

Organizers
Mária B. Szendrei, Eszter K. Horváth, István Szittyai, Géza Takách

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Ring-theoretic Properties of Affine Semigroups
by
Ngo Viet Trung
Institute of Mathematics, Hanoi, Vietnam

Affine semigroups are finitely generated submonoids of the additive monoids Nr, where N is the set of non-negative integers and r > 0. The name `affine semigroups' comes from the facts that their semigroup rings are coordinate rings of affine toric varieties. The aim of the talk is to show how important algebraic properties of affine toric varieties can be described by means of numerical and combinatorical data of the underlying affine semigroups.

Date received: June 29, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caec-47.